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Simplifying -2y + 3 = -3(2y + 7) Reorder the terms: 3 + -2y = -3(2y + 7) Reorder the terms: 3 + -2y = -3(7 + 2y) 3 + -2y = (7 * -3 + 2y * -3) 3 + -2y = (-21 + -6y) Solving 3 + -2y = -21 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 3 + -2y + 6y = -21 + -6y + 6y Combine like terms: -2y + 6y = 4y 3 + 4y = -21 + -6y + 6y Combine like terms: -6y + 6y = 0 3 + 4y = -21 + 0 3 + 4y = -21 Add '-3' to each side of the equation. 3 + -3 + 4y = -21 + -3 Combine like terms: 3 + -3 = 0 0 + 4y = -21 + -3 4y = -21 + -3 Combine like terms: -21 + -3 = -24 4y = -24 Divide each side by '4'. y = -6 Simplifying y = -6
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